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Finding the Fourth Proportional to 4,137, 6,205.50 and 1,215.24

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Solution

The fourth proportional to 4,137, 6,205.50 and 1,215.24 is: 1,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137 : 6,205.50 = 1,215.24 : x
  2. Step 2: Convert to fraction form
    4,137/6,205.50 = 1,215.24/x
  3. Step 3: Cross multiply
    4,137x = 6,205.50 × 1,215.24
  4. Step 4: Simplify right side
    4,137x = 7,541,171.82
  5. Step 5: Solve for x
    x = 7,541,171.82/4,137
  6. Step 6: Final answer
    x = 1,822.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.